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229965514460 = 2251143128918859
BaseRepresentation
bin1101011000101100000…
…0110100011011011100
3210222120200200112121022
43112023000310123130
512231432132430320
6253351131023312
722420521422633
oct3261300643334
9728520615538
10229965514460
11895895a0790
123869ab9ab38
13188bb4cb716
14b1b7b1051a
155eae03a325
hex358b0346dc

229965514460 has 96 divisors (see below), whose sum is σ = 539528774400. Its totient is φ = 81611389440.

The previous prime is 229965514411. The next prime is 229965514517. The reversal of 229965514460 is 64415569922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12184511 + ... + 12203369.

It is an arithmetic number, because the mean of its divisors is an integer number (5620091400).

Almost surely, 2229965514460 is an apocalyptic number.

229965514460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229965514460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269764387200).

229965514460 is an abundant number, since it is smaller than the sum of its proper divisors (309563259940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229965514460 is a wasteful number, since it uses less digits than its factorization.

229965514460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 229965514460 in words is "two hundred twenty-nine billion, nine hundred sixty-five million, five hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1289 1892 2365 2578 4730 5156 6445 9460 12890 14179 18859 25780 28358 37718 55427 56716 70895 75436 94295 110854 141790 188590 207449 221708 277135 283580 377180 414898 554270 609697 810937 829796 1037245 1108540 1219394 1621874 2074490 2438788 3048485 3243748 4054685 4148980 6096970 8109370 8920307 12193940 16218740 17840614 24309251 35681228 44601535 48618502 89203070 97237004 121546255 178406140 243092510 267401761 486185020 534803522 1045297793 1069607044 1337008805 2090595586 2674017610 4181191172 5226488965 5348035220 10452977930 11498275723 20905955860 22996551446 45993102892 57491378615 114982757230 229965514460